Home
Class 12
MATHS
In R^(3),vec(x)=(2,3,6),vec(y)=(6, -2,3)...

In `R^(3),vec(x)=(2,3,6),vec(y)=(6, -2,3)` and `vec(z)=(3,6,-2)`, then find `2vec(x)+vec(y)-vec(z)`.

Text Solution

Verified by Experts

The correct Answer is:
`7hati-2hatj+17hatk`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.1|5 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.2|21 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

If |vec(a)|=10,|vec(b)|=2 and vec(a).vec(b)=12 then find |vec(a)xx vec(b)| .

If |vec(a)|=2,|vec(b)|=5 and vec(a).vec(b)=10 then find |vec(a)-vec(b)| .

If vec(P) = (k,2,3) and vec(Q) = (0,3,k) and vec(P) bot vec(Q) , then find the value of k .

If (vec(a)-vec(b)).(vec(a)+vec(b))=27 and |vec(a)|=2|vec(b)| the find |vec(a)| and |vec(b)| .

If |vec(a)|=2|vec(b)|=5 and |vec(a)xx vec(b)|=8 then find vec(a).vec(b) .

If vec(a)=3hati-hatj+2hatk,vec(b)=hati-3hatk and vec( c )=hati+2hatj then find (i) vec(a).vec(b) (ii) (vec(a)+vec(b)).vec( c ) (iii) (vec(a)-vec(b)).(vec(b)-vec( c )) (iv) (vec(a)+2vec(b)).vec(b) (v) (vec(a)-3vec( c )).(2vec(a)+vec(b))

For the vectors vec(x) and vec(y),vec(x)+vec(y)=vec(a),vec(x)xx vec(y)=vec(b) and vec(x).vec(a)=1 then vec(x) = ………….., vec(y) = ……….

If vec(a)=hati+hatj+2hatk and vec(b)=3hati+2hatj-hatk then find vec(a)+3vec(b).(2vec(a)-vec(b)) .

If vec(x),vec(y) and vec(z) are non coplanar then prove that vec(x)+vec(y),vec(y)+vec(z) and vec(z)+vec(x) are non coplanar.

For two vectors vec(a) and vec(b),|vec(a)|=4,|vec(b)|=3 and vec(a).vec(b)=6 find the angle between vec(a) and vec(b) .